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Finding the Fourth Proportional to 190,749, 286,174.53 and 66,090

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Solution

The fourth proportional to 190,749, 286,174.53 and 66,090 is: 99,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,749 : 286,174.53 = 66,090 : x
  2. Step 2: Convert to fraction form
    190,749/286,174.53 = 66,090/x
  3. Step 3: Cross multiply
    190,749x = 286,174.53 × 66,090
  4. Step 4: Simplify right side
    190,749x = 18,913,274,687.70
  5. Step 5: Solve for x
    x = 18,913,274,687.70/190,749
  6. Step 6: Final answer
    x = 99,152.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.